Random attractors for stochastic sine-Gordon lattice systems with multiplicative white noise. (English) Zbl 1209.60038

Summary: We study the asymptotic behavior of solutions to the stochastic sine-Gordon lattice equations with multiplicative white noise. We first prove the existence and uniqueness of solutions, and then establish the existence of tempered random bounded absorbing sets and global random attractors.


60H15 Stochastic partial differential equations (aspects of stochastic analysis)
37L60 Lattice dynamics and infinite-dimensional dissipative dynamical systems
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
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